Résultat d'unicité et de régularité pour certaines inéquations variationnelles fortement non-linéaires

Abstract : We study a variational inequality. We obtain in some particular cases, the n-membran problem. We give, in the begining a result of existance. After that we interest particulary cas, in diagonal and non linear system, also we give in the second part, one result of monotonie. We study more particulary the n-membran problem and we present Holder and Hilbert's regularity. In the end of our studies, we proof that the gradiant of the solution is bounded in the boundary neiberhood
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Abdelaziz Feggous. Résultat d'unicité et de régularité pour certaines inéquations variationnelles fortement non-linéaires. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1988. Français. ⟨NNT : 1988METZ007S⟩. ⟨tel-01775750⟩

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